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Finding the Third Proportional to 288.25 and 457.25

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Solution

The third proportional to 288.25 and 457.25 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 457.25 = 457.25 : x
  2. Step 2: Convert to fraction form
    288.25/457.25 = 457.25/x
  3. Step 3: Cross multiply
    288.25x = 457.25 × 457.25
  4. Step 4: Simplify right side
    288.25x = 209,077.56
  5. Step 5: Solve for x
    x = 209,077.56/288.25
  6. Step 6: Final answer
    x = 725.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.